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Eight identical droplets, each falling under gravity in the earth’s atmosphere with terminal velocity v, combine to form a single drop. The terminal velocity of single drop and drag force on it are calculated. Find the correct statement from the following.
a) Final terminal velocity is 4v
b) Final terminal velocity is 8v
c) Drag force is increased to four times.
d) Drag force is increased to eight times

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a,d are correct

a,c are correct

b, d are correct

b,c are correct

answer is A.

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Detailed Solution

Volume becomes eight times, so radius r becomes double. We know that terminal velocity: $v_{t} \propto r^{2}$ ,Hence terminal velocity becomes four times. And drag force: $F \propto r v_{i}$ ,hence drag becomes eight times:

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